1013993 has 2 divisors, whose sum is σ = 1013994. Its totient is φ = 1013992.

The previous prime is 1013933. The next prime is 1014007. The reversal of 1013993 is 3993101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 984064 + 29929 = 992^2 + 173^2 .

It is a cyclic number.

It is not a de Polignac number, because 1013993 - 2¹⁴ = 997609 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (1013923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 506996 + 506997.

It is an arithmetic number, because the mean of its divisors is an integer number (506997).

2^1013993 is an apocalyptic number.

It is an amenable number.

1013993 is a deficient number, since it is larger than the sum of its proper divisors (1).

1013993 is an equidigital number, since it uses as much as digits as its factorization.

1013993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 729, while the sum is 26.

The square root of 1013993 is about 1006.9721942536. The cubic root of 1013993 is about 100.4642744895.

The spelling of 1013993 in words is "one million, thirteen thousand, nine hundred ninety-three".